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Finding the Fourth Proportional to 77,959.01, 107,583.41 and 42,149.02

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Solution

The fourth proportional to 77,959.01, 107,583.41 and 42,149.02 is: 58,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,959.01 : 107,583.41 = 42,149.02 : x
  2. Step 2: Convert to fraction form
    77,959.01/107,583.41 = 42,149.02/x
  3. Step 3: Cross multiply
    77,959.01x = 107,583.41 × 42,149.02
  4. Step 4: Simplify right side
    77,959.01x = 4,534,535,136.17
  5. Step 5: Solve for x
    x = 4,534,535,136.17/77,959.01
  6. Step 6: Final answer
    x = 58,165.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.